Question

# A body floats in a liquid contained in a beaker. The whole system as shown in the figure falls freely under gravity. The upthrust on the body is

A
zero
B
Equal to the weight of the liquid displaced
C
Equal to the weight of the body in air
D
Equal to the weight of the immersed portion of the body

Solution

## The correct option is A zero  We know upthrust $$=V_{\rho} g_{effective}\\g_{effective}=(g-a) a=acceleration downwards$$ When body is freely falling, $$a=g\\g_{effective}=(g-g)=0\\Upthrust=V_{\rho}\times(0)=0$$ So, upthrust on a freely falling body is zero.Physics

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